Klumpmeister: They both have the same art style. Which one has more depth, playability, and overall fun?
Dude... wait what?
>.>
BG and Diablo are NOTHING alike.
You're comparing two completely and utterly different games, you may as well be comparing Half Life to Pong.
BG is a turn-based RPG based on D&D 2E rules, with (supposedly) a real plot, character development, a party at your control, limitations, etc etc etc.
Diablo is an Action RPG, with minimal plot, no character development, just lots of stuff to kill and lots of phat l3wt!
>.> Also as an addendum to what BreathingMeat said..
If you like a game with a short, shallow learning curve and immediate appeal, you'll like Diablo, but not as much as you'll like newer action RPGs. By Comparison Diablo was outright mean.
If you like a game with polished, gothic imagery, you'll like Diablo
If you want a game with a large active online community for multiplaying, go for Diablo 2
If you like real-time clicky combat, you'll like Diablo.
If you'd like to reproduce the flavour of tabletop role-playing, complete with a DM who is out to kill you repeatedly, you should try BG.
If you want a game that will hold your attention in single-player mode for weeks, you'll like BG, but you could also like Diablo and other action RPGs. (I love them for single player :p)
If you value games where the maps have been hand crafted by a DM what is out to kill you repeatedly rather than randomly generated, you'll certainly prefer BG.
If you like turn-based combat, you'll like BG.